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Finding the Fourth Proportional to 61.75, 92.20 and 57.73

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Solution

The fourth proportional to 61.75, 92.20 and 57.73 is: 86.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.75 : 92.20 = 57.73 : x
  2. Step 2: Convert to fraction form
    61.75/92.20 = 57.73/x
  3. Step 3: Cross multiply
    61.75x = 92.20 × 57.73
  4. Step 4: Simplify right side
    61.75x = 5,322.71
  5. Step 5: Solve for x
    x = 5,322.71/61.75
  6. Step 6: Final answer
    x = 86.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.